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Simplifying 2(5 + -3r) = -4r + -6 (5 * 2 + -3r * 2) = -4r + -6 (10 + -6r) = -4r + -6 Reorder the terms: 10 + -6r = -6 + -4r Solving 10 + -6r = -6 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 10 + -6r + 4r = -6 + -4r + 4r Combine like terms: -6r + 4r = -2r 10 + -2r = -6 + -4r + 4r Combine like terms: -4r + 4r = 0 10 + -2r = -6 + 0 10 + -2r = -6 Add '-10' to each side of the equation. 10 + -10 + -2r = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = -6 + -10 -2r = -6 + -10 Combine like terms: -6 + -10 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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